Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂₉:C₄

Direct product G=NxQ with N=C₄ and Q=C₂₉:C₄

		d	ρ	Label	ID
C₄xC₂₉:C₄		116	4	C4xC29:C4	464,30

Semidirect products G=N:Q with N=C₄ and Q=C₂₉:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂₉:C₄) = C₁₁₆:C₄	φ: C₂₉:C₄/D₂₉ → C₂ ⊆ Aut C₄	116	4	C4:(C29:C4)	464,31

Non-split extensions G=N.Q with N=C₄ and Q=C₂₉:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₂₉:C₄) = C₁₁₆.C₄	φ: C₂₉:C₄/D₂₉ → C₂ ⊆ Aut C₄	232	4	C4.(C29:C4)	464,29
C₄.₂(C₂₉:C₄) = C₂₉:C₁₆	central extension (φ=1)	464	4	C4.2(C29:C4)	464,3
C₄.₃(C₂₉:C₄) = D₂₉:C₈	central extension (φ=1)	232	4	C4.3(C29:C4)	464,28

Extensions 1→N→G→Q→1 with N=C4 and Q=C29:C4